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Finding the Fourth Proportional to 385,739.21, 578,328.56 and 161,163.86

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Solution

The fourth proportional to 385,739.21, 578,328.56 and 161,163.86 is: 241,628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,739.21 : 578,328.56 = 161,163.86 : x
  2. Step 2: Convert to fraction form
    385,739.21/578,328.56 = 161,163.86/x
  3. Step 3: Cross multiply
    385,739.21x = 578,328.56 × 161,163.86
  4. Step 4: Simplify right side
    385,739.21x = 93,205,664,802.21
  5. Step 5: Solve for x
    x = 93,205,664,802.21/385,739.21
  6. Step 6: Final answer
    x = 241,628.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.